Change the fraction to an equivalent fraction using multiplication.
\(\frac{5}{7}=\frac{?}{21}\)
Answer:
[tex]\frac{5}{7\\}[/tex] * [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]
Step-by-step explanation:
To get an equivalent fraction, we multiply by a fraction that is equal to one. The purpose is to alter the denominator of the fraction. To get from a denominator of 7 to 21 we multiply by 3. Therefore we will multiply 5/7 by 3/3 to get the new equivalent fraction with a denominator of 21.
Answer:
a0 - 15
Step-by-step explanation:
can someone plz plz plz help me choose an answer for this idk what it is
Answer:
Largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
Step-by-step explanation:
We need to find the largest number ins scientific notation.
The number which has highest degree would be the largest.
In the given options, Diameter of Sun has highest power i.e 10⁹
All other options have lower degrees.
So, largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
please help this is a prodigy question i'm stuck on
Answer:
put down the 1/6 and the 1/2 on the number line then calculate the fraction of how far spread they are
Step-by-step explanation:
put down the fractions, calculate how far away they are
2 step explination its 3/6
hope its right................
Part 1: Students performed in a play on a Friday and a Saturday. For both performances, adult tickets cost a dollars each and student
tickets cost s dollars each.
On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. On Saturday, they sold 140 adult tickets and 50
student tickets, and collect $1,230.
This situation is represented by this system of equations:
125a +65 s = 1,200
140a +505 = 1,230
What could the equation 265a+115s=2,430 mean in this situation?
Part 2: The solution to the original system is the pair a=7 and s=5. Explain why it makes sense that this pair of values is also the solution to the equation 265a+115s=2430.
Answer:
Sum of the two separate equations.
The values satisfies the equation
Step-by-step explanation:
Given the equations for the two separate days :
125a +65 s = 1,200 - - - Friday
140a +50s = 1,230 - - - Saturday
265a+115s=2430 means the addition of the two separate equations which means the overall sales for the two days in one single equation.
B)
Because, Inputting the solution, satisfied the equation:
a = 7 ; s = 5
265a+115s=2430
265(7) + 115(5) = 2430
1855 + 575 = 2430
Which expression is equivalent to
2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11
Answer:
4) -2g - 11
Step-by-step explanation:
2(3g-4)-(8g + 3) =
6g - 8 - 8g - 3 =
- 2g - 11
Differentiate Vx(x + 2) with respect to x.
Answer:
[tex]y'= \frac{3x+2}{2\sqrt{x} }[/tex]
General Formulas and Concepts:
Calculus
The derivative of a constant is equal to 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Product Rule: [tex]\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]y=\sqrt{x} (x+2)[/tex]
Step 2: Rewrite
[tex]y=x^{\frac{1}{2} } (x+2)[/tex]
Step 3: Differentiate
Product Rule [Basic Power/Chain Rule]: [tex]y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)[/tex]Simplify: [tex]y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}[/tex]Rewrite: [tex]y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}[/tex]Add: [tex]y'= \frac{3x+2}{2\sqrt{x} }[/tex]what is the value of
[tex] \frac{7}{3} \div \frac{5}{6} [/tex]
Which equation is equivalent to x + 2y = 6?
y = -x + 6
B
y = -5x – 6
y = -x + 3
y = -x + 3
Answer:
y = -x + 6
Step-by-step explanation:
you will carry the character "X" to the right hand side making it "-x"
Equation x + 2y = 6 is equivalent to y = 3 - x/2
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
x + 2y = 6,
Subtract x from both the sides,
x + 2y - x = 6 - x
2y = 6 - x
Divide both the sides by 2,
y = 3 - x/2
The equation x + 2y = 6 can be expressed as y = 3 - x/2.
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During the first week of school Andrew purchased two pounds of Jellies and two pounds of Bonbons for $38. The second week of school he purchased two pounds of Jellies and four pounds of Chocolates for $74 and the third week he purchased two pounds of Jellies, two pounds of Bonbons and one pound of Chocolates for $53. What is the cost of one pound of Chocolates?
Answer:
j = $7
b = $12
c = $15
Step-by-step explanation:
Let
j = cost of one pound of jelly
b = cost of one pound of Bonbon
c = cost of one pound of chocolate
First week:
two pounds of Jellies and two pounds of Bonbons for $38.
2j + 2b = 38
Second week:
two pounds of Jellies and four pounds of Chocolates for $74
2j + 4c = 74
Third week:
two pounds of Jellies, two pounds of Bonbons and one pound of Chocolates for $53.
2j + 2b + c = 53
Recall,
2j + 2b = 38
So,
38 + c = 53
c = 53 - 38
= 15
c = $15
Substitute c = 15 into
2j + 4c = 74
2j + 4(15) = 74
2j + 60 = 74
2j = 74 - 60
2j = 14
j = 14/2
= 7
j = $7
Substitute j = 7 into
2j + 2b = 38
2(7) + 2b = 38
14 + 2b = 38
2b = 38 - 14
2b = 24
b = 24/2
= 12
b = $12
What percent 284 of is 71?
Answer:
It's 25
Step-by-step explanation:
8 is what percent of 64?
Answer:
The answer is 12.5
29. JK, given J(-3, 5) and K(2, -5)
Domain
Range
Answer:
I think, the domain would be the x values and range would be the y values.
Domain - [-3 , 2]
Range - [-5 , 5]
I hope you get this right.
Can you help me please?
Answer:
D
Step-by-step explanation:
Which number is a solution of the inequality?
8< x ( 7- x)
A. 2
B. 8
C. –1
D. 0
Answer:
8< (2) ( 7- (2)) = 8<10 which is true
so A. is the answer
Step-by-step explanation:
Solve Each Equation show work
7. |n| - 4 = - 3
8. -3 |x|= - 18
Answer:
1. n is 1 or -1
2. x is 6 or -6
Step-by-step explanation:
1. |n| -4 = -3
|n| = -3 + 4
|n| = 1
so n = 1 or - 1
2) -3|x| = -18
divide both sides by -3
|x| = -18/-3
|x| = 6
so x = -6 or 6
9. Which of the following vary inversely with each other?
(a) speed and distance covered.
(b) distance covered and taxi fare.
(c) distance travelled and time taken.
(d) speed and time taken.
8th class maths . please explain your answer
Answer:
speed and distance covered
Step-by-step explanation:
when the distance is a constant, the time is related inversely.
What is 5×10+4×1+8×110+6×1100+1×11,000 ?
Answer:
18534 is the answer of this question
Which point in the graph is on f(x)=3x5^x
Answer:???
Step-by-step explanation:
Answer:
(1,15)
Step-by-step explanation:
The numerator of a rational number 8
Answer:
We conclude that the numerator of a rational number 8 will be 8.
Step-by-step explanation:
We know that any number which can be written in the form p/q is called a rational number.
i.e. p/q
Where p and q are integers and q≠0.
Here:
The numerator is pThe denominator is qGiven the number
8
As number '8' can be written in the form p/q, so it is a rational number.
i.e. 8/1
Thus,
The numerator = 8The denominator = 1Therefore, we conclude that the numerator of a rational number 8 will be 8.
Please help me with this.
Write the expression 8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2 in simplest form.
Then, answer the following questions using complete sentences:
a. How many terms are in the simplified expression?
b. How many of the terms in the simplified expression are positive?
Answer:
[tex]7x^{2} y-2xy^2+xy[/tex]
Three terms.
Two terms are positive.
Step-by-step explanation:
[tex]8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2[/tex]
Group like terms
[tex]=8x^{2} y-x^{2} y+3xy^2-5xy^2-2xy+3xy[/tex]
Add similar elements: [tex]8x^{2} y-x^2y=7x^2y[/tex]
[tex]=7x^2y+3xy^2-5xy^2-2xy+3xy[/tex]
Add similar elements: [tex]3xy^2-5xy^2=-2xy^2[/tex]
[tex]=7x^{2} y-2xy^2-2xy+3xy[/tex]
Add similar elements: [tex]-2xy+3xy=xy[/tex]
[tex]=7x^2y-2xy^2+xy[/tex]
[tex]7x^2y[/tex] and [tex]-2xy^2[/tex] and [tex]xy[/tex] are the three different terms.
Only [tex]7x^2y[/tex] and [tex]xy[/tex] are positive terms, thus making two positive terms.
twice the difference of a number and 3 is 5.
Answer:
2(3-n)=5
Step-by-step explanation:
Emily wins 22000$. She has to pay 10% for charity and then she decides to buy a car for 10800$. She divides the rest of them between her son and daughter in the ratio 1:4. How much does her daughter get.
Answer:
$7 200
Step-by-step explanation:
Amount of money paid for charity = [tex]\frac{10}{100}[/tex] × $22 000
= $2 200
Remaining money left for children = $22 000 - $2 200 - $10 800
= $9000
Let the amount of money her son receives be x and the amount her daughter gets be 4x.
Son's $ + Daughter's $ = $9000
x + 4x = 9000
5x = 9000
Amount of money her daughter gets (4x) = [tex]\frac{4}{5}[/tex] × 9000
= $7 200
which are equivalent to 3
-
4
Answer: 9/12 is equivalent to 3/4.
Explanation: 3 times 12 = 36 and 4 times 9 = 36.
Hope this helps!
find the equations that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the xy-plane.
The equation that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the x y-plane is (x - 9)² + (y - 2)² = 9.
We know that the given coordinates correspond to a sphere.
The x, y coordinates for our search for a circle parallel to the x-y plane are (x, y) = (9, 2)
The circle's standard equation is (x - h)²+ (y - k)² = r², where h and k are the circle's x and y coordinates, respectively, and r is its radius.
So, we have:
h = 9 ;
k = 2 ;
r = 3;
the solution is (x - 9)² + (y - 2)² = 9.
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if y directly with x, and y= -20 when x=3, what is y when x=15?
Step-by-step explanation:
you can ask questions for clarification
What will the date be in 2 months and 3 weeks? current date: December 13, 2020.
Answer: March 6th, 2021
( 7- 4 ) ÷ 9 of (8÷2×3)
Answer:
-3 and 12
Step-by-step explanation:
but I'm not sure about your question when you say of is that supposed to be a and if it is a and then its -3 and 12
Answer:8/27
Step-by-step explanation:
(7-4)÷9 of (8÷2×3)
3÷9 of 8÷6
12 - 3a for a=3. if a=3, 12 - 3a= ?
Answer:
3
Step-by-step explanation:
if a=3 then 12-3a = 12-9 = 3
A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.2 liters. By
what percent is the student's estimate off?
Answer: The student's estimate is off by 12%
Julissa gave out an equal number of oranges to each of the 6 apartments on her floor. If she gave each apartment 5 oranges, how many oranges did Julissa give out in all? StartFraction 5 Over 6 EndFraction 1 and one-fifth 11 30
Answer:
30 oranges
Step-by-step explanation:
Total number of apartment in julissa floor = 6
Number of oranges given to each apartment = 5
how many oranges did Julissa give out in all?
Total number of oranges julissa's gave out = Total number of apartment in julissa floor × Number of oranges given to each apartment
= 6 × 5
= 30 oranges
Therefore, total number of oranges julissa gave out = 30
Answer:
30
Step-by-step explanation:
30